%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ131_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:32:32 PM UTC 2026
% Result : Theorem 0.11s 0.48s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 12 ( 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
student: $tType ).
tff(type_def_6,type,
professor: $tType ).
tff(type_def_7,type,
course: $tType ).
tff(func_def_0,type,
michael: student ).
tff(func_def_1,type,
victor: professor ).
tff(func_def_2,type,
csc410: course ).
tff(func_def_3,type,
coordinatorof: course > professor ).
tff(func_def_4,type,
sK0: student > course ).
tff(func_def_5,type,
sK1: professor > course ).
tff(func_def_6,type,
sK2: course > student ).
tff(func_def_7,type,
sK3: course > professor ).
tff(pred_def_1,type,
enrolled: ( student * course ) > $o ).
tff(pred_def_2,type,
teaches: ( professor * course ) > $o ).
tff(pred_def_3,type,
taughtby: ( student * professor ) > $o ).
tff(f5,axiom,
! [X0: course] : teaches(coordinatorof(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coordinator_teaches) ).
tff(f6,axiom,
! [X0: student,X1: course] :
( enrolled(X0,X1)
=> ! [X2: professor] :
( teaches(X2,X1)
=> taughtby(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',student_enrolled_taught) ).
tff(f7,axiom,
enrolled(michael,csc410),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',michael_enrolled_csc410) ).
tff(f8,axiom,
coordinatorof(csc410) = victor,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',victor_coordinator_csc410) ).
tff(f9,conjecture,
taughtby(michael,victor),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',teaching_conjecture) ).
tff(f10,negated_conjecture,
~ taughtby(michael,victor),
inference(negated_conjecture,[status(cth)],[f9]) ).
tff(f11,plain,
~ taughtby(michael,victor),
inference(flattening,[],[f10]) ).
tff(f12,plain,
! [X0: student,X1: course] :
( ! [X2: professor] :
( taughtby(X0,X2)
| ~ teaches(X2,X1) )
| ~ enrolled(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
tff(f17,plain,
! [X0: course] : teaches(coordinatorof(X0),X0),
inference(cnf_transformation,[],[f5]) ).
tff(f18,plain,
! [X2: professor,X0: student,X1: course] :
( taughtby(X0,X2)
| ~ teaches(X2,X1)
| ~ enrolled(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tff(f19,plain,
enrolled(michael,csc410),
inference(cnf_transformation,[],[f7]) ).
tff(f20,plain,
coordinatorof(csc410) = victor,
inference(cnf_transformation,[],[f8]) ).
tff(f21,plain,
~ taughtby(michael,victor),
inference(cnf_transformation,[],[f11]) ).
tff(f22,plain,
teaches(victor,csc410),
inference(superposition,[],[f17,f20]) ).
tff(f23,plain,
! [X0: course] :
( ~ teaches(victor,X0)
| ~ enrolled(michael,X0) ),
inference(resolution,[],[f18,f21]) ).
tff(f24,plain,
~ enrolled(michael,csc410),
inference(resolution,[],[f23,f22]) ).
tff(f26,plain,
$false,
inference(forward_subsumption_resolution,[],[f24,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ131_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:44:47 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.48 % (255299)Will run a generic schedule for satisfiability detection.
% 0.11/0.48 % (255305)% WARNING: option uhcvi not known.
% 0.11/0.48 % (255308)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2654599216:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.11/0.48 % (255304)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1315743642_3000 on theBenchmark for (3000ds/0Mi)
% 0.11/0.48 % (255306)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1773551178:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.11/0.48 % (255305)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1967636927:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.11/0.48 % (255309)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1068972376:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.11/0.48 % TRYING [1]
% 0.11/0.48 % (255308) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-255299-255308"...
% 0.11/0.48 % TRYING [2]
% 0.11/0.48 % TRYING [3]
% 0.11/0.48 % (255309) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-255299-255309"...
% 0.11/0.48 % (255305) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-255299-255305"...
% 0.11/0.48 % (255304) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-255299-255304"...
% 0.11/0.48 % (255306) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-255299-255306"...
% 0.11/0.48 % (255308)...printing done.
% 0.11/0.48 % (255304)...printing done.
% 0.11/0.48 % (255309)...printing done.
% 0.11/0.48 % (255305)...printing done.
% 0.11/0.48 % (255306)...printing done.
% 0.11/0.48 % (255308)Refutation found. Thanks to Tanya!
% 0.11/0.48 % SZS status Theorem for theBenchmark
% 0.11/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.48 % (255308)------------------------------
% 0.11/0.48 % (255308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.48 % (255308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.48 % (255308)CaDiCaL version: 2.1.3
% 0.11/0.48 % (255308)Termination reason: Refutation
% 0.11/0.48 % (255308)Time elapsed: 0.002 s
% 0.11/0.48 % (255308)Peak memory usage: 11 MB
% 0.11/0.48 % (255308)Instructions burned: 1 (million)
% 0.11/0.48 % (255299)Success in time 0.04 s
% 0.11/0.48 % Vampire exiting
%------------------------------------------------------------------------------